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Finding the Fourth Proportional to 92,506.66, 127,658.97 and 50,065.22

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Solution

The fourth proportional to 92,506.66, 127,658.97 and 50,065.22 is: 69,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,506.66 : 127,658.97 = 50,065.22 : x
  2. Step 2: Convert to fraction form
    92,506.66/127,658.97 = 50,065.22/x
  3. Step 3: Cross multiply
    92,506.66x = 127,658.97 × 50,065.22
  4. Step 4: Simplify right side
    92,506.66x = 6,391,274,737.17
  5. Step 5: Solve for x
    x = 6,391,274,737.17/92,506.66
  6. Step 6: Final answer
    x = 69,089.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.